# MCT4C - Mathematics for College Technology ( 技術數學 )

20 小時

1.0

110 小時

10  週

• 一對一 (一位老師對一位學生)
• 一對四 (一位老師對四位學生)

## A. EXPONENTIAL FUNCTIONS

OVERALL EXPECTATIONS
By the end of this course, students will:

1. solve problems involving exponential equations graphically, including problems arising from real-world applications;
2. solve problems involving exponential equations algebraically using common bases and logarithms, including problems arising from real-world applications.

## B. POLYNOMIAL FUNCTIONS

OVERALL EXPECTATIONS
By the end of this course, students will:

1. recognize and evaluate polynomial functions, describe key features of their graphs, and solve problems using graphs of polynomial functions;
2. make connections between the numeric, graphical, and algebraic representations of polynomial functions;
3. solve polynomial equations by factoring, make connections between functions and formulas, and solve problems involving polynomial expressions arising from a variety of applications.

## C. TRIGONOMETRIC FUNCTIONS

OVERALL EXPECTATIONS
By the end of this course, students will:

1. determine the values of the trigonometric ratios for angles less than 360º, and solve problems using the primary trigonometric ratios, the sine law, and the cosine law;
2. make connections between the numeric, graphical, and algebraic representations of sinusoidal functions;
3. demonstrate an understanding that sinusoidal functions can be used to model some periodic phenomena, and solve related problems, including those arising from real-world applications.

## D. APPLICATIONS OF GEOMETRY

OVERALL EXPECTATIONS
By the end of this course, students will:

1. represent vectors, add and subtract vectors, and solve problems using vector models, including those arising from real-world applications;
2. solve problems involving two-dimensional shapes and three-dimensional figures and arising from real-world applications;
3. determine circle properties and solve related problems, including those arising from real-world applications.

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